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Finding the Third Proportional to 213,167 and 307,965

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Solution

The third proportional to 213,167 and 307,965 is: 444,920.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,167 : 307,965 = 307,965 : x
  2. Step 2: Convert to fraction form
    213,167/307,965 = 307,965/x
  3. Step 3: Cross multiply
    213,167x = 307,965 × 307,965
  4. Step 4: Simplify right side
    213,167x = 94,842,441,225
  5. Step 5: Solve for x
    x = 94,842,441,225/213,167
  6. Step 6: Final answer
    x = 444,920.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.